Smartphones screens have been growing steadily, but Apple has taken a more conservative approach, not rushing in with bigger displays. It has emphasized the importance of a screen that can be manipulated with one hand and stayed with the 4-inch display – seemingly Lilliputian when compared to Samsung’s 5-inch Galaxy S4 and 5.7-inch Galaxy Note 3 – in its latest iPhone 5S and 5C.

Now, Apple is working on two new iPhones with larger displays, according to people familiar with the matter. It is looking at one model that’s larger than 4.5-inches, measured diagonally, and a second version that is greater than 5-inches, these people said.

This copy is for your personal, non-commercial use only. Distribution and use of this material are governed by our Subscriber Agreement and by copyright law. For non-personal use or to order multiple copies, please contact Dow Jones Reprints at 1-800-843-0008 or visit www.djreprints.com.